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Finding the Fourth Proportional to 3,522.76, 5,282.78 and 1,057

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Solution

The fourth proportional to 3,522.76, 5,282.78 and 1,057 is: 1,585.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.76 : 5,282.78 = 1,057 : x
  2. Step 2: Convert to fraction form
    3,522.76/5,282.78 = 1,057/x
  3. Step 3: Cross multiply
    3,522.76x = 5,282.78 × 1,057
  4. Step 4: Simplify right side
    3,522.76x = 5,583,898.46
  5. Step 5: Solve for x
    x = 5,583,898.46/3,522.76
  6. Step 6: Final answer
    x = 1,585.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.